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Sindrei
2 months ago
7

Fill in the missing reason in the following two-column proof for the following information. Given: K is the midpoint of segment

JL; KL = 14 Prove: JK = 14 StatementReason K is the midpoint of JL; KL = 14Given JK = KL? JK = 14Substitution
Mathematics
2 answers:
Svet_ta [12.7K]2 months ago
4 0
To complete the proof as follows: K is the midpoint of JL, and KL is stated to be equal to 14. The goal is to establish that JK equals 14. The proof starts by noting that K is the midpoint of segment JL, as given. The next assertion is that KL equals 14, also given. Following that, JK is deduced to equal KL, under the definition of midpoint. Since JK and KL both equal 14, we can apply the transitive property, concluding that JK equals 14, proving our statement.
lawyer [12.5K]2 months ago
4 0
It is given that K represents the midpoint of line segment JL, and KL measures 14. We must demonstrate that JK is also 14. Since K is established as the midpoint of JL and KL equals 14, it follows from the definition of midpoint that JK must also equal KL. Hence, JK is found to be 14 due to the transitive property.
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